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Finding the Fourth Proportional to 742,174, 1,024,202.10 and 402,642.25

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Solution

The fourth proportional to 742,174, 1,024,202.10 and 402,642.25 is: 555,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,174 : 1,024,202.10 = 402,642.25 : x
  2. Step 2: Convert to fraction form
    742,174/1,024,202.10 = 402,642.25/x
  3. Step 3: Cross multiply
    742,174x = 1,024,202.10 × 402,642.25
  4. Step 4: Simplify right side
    742,174x = 412,387,037,998.73
  5. Step 5: Solve for x
    x = 412,387,037,998.73/742,174
  6. Step 6: Final answer
    x = 555,647.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.